state True or False
The fourth proportion of $a^{2}, a b, b^{2}$ is $\frac{b^{3}}{a}$

True

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False

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Solution

The correct option is A True
In $a : b :: c : d; d$ is the fourth proportional.
In, $a^{2} : a b :: b^{2} : d$ , product of extremes $=$ product of means
$a^{2} \times d = a b \times b^{2}$
$d = \frac{b^{3}}{a}$

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